It was during a drill he had us do this, but I think that's how he wants us to move. He only had us do it during a mitt exercise. we had to pivot around on the back foot and throw a jab as he moved around the ring.

I really didn't understand the question as it was worded oddly and your "Meez" is quite distracting

Basically, I meant when we moved originally, the front foot (left in my case) stayed planted and pivoted around, while the back foot (right in my case) was used to move myself around the ring. With the new coach it's the opposite. The back foot pivots instead.